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Biases of the ordinary least squares and instrumental variables estimators of the intergenerational earnings elasticity: Revisited in the light of panel data

An Erratum to this article was published on 01 November 2008

An Erratum to this article was published on 01 November 2008


The OLS estimator of the intergenerational earnings correlation is biased towards zero, while the instrumental variables estimator is biased upwards. The first of these results arises because of measurement error, while the latter rests on the presumption that the education of the parent family is an invalid instrument. We propose a panel data framework for quantifying the asymptotic biases of these estimators, as well as a mis-specification test for the IV estimator.

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  1. 1.

    Abul Naga, R.: Estimating the intergenerational elasticity of incomes: an errors in variables framework. Economica 69, 69–91 (2002)

    Article  Google Scholar 

  2. 2.

    Abul Naga, R., Krishnakumar, J.: Panel data estimation of the intergenerational elasticity of incomes. In: Krishnakumar, J., Ronchetti, E. (eds.) Panel Data Econometrics: Future Directions, Papers in Honour of Professor Pietro Balestra. North-Holland, Amsterdam (2000)

    Google Scholar 

  3. 3.

    Aigner, D., Hsiao, C., Kapteyn, A., Wansbeek, T.: Latent variable models in econometrics. In: Griliches, Z., Intriligator, M. (eds.) Handbook of Econometrics, vol. 2. Elsevier, Amsterdam (1984)

    Google Scholar 

  4. 4.

    Altonji, J., Dunn, K.: Relationships among the family incomes and labor market outcomes of relatives. Res. Labor Econ. 12, 269–310 (1991)

    Google Scholar 

  5. 5.

    Arellano, M.: Panel Data Econometrics. Oxford University Press, Oxford (2003)

    Google Scholar 

  6. 6.

    Arellano, M., Bond S.: Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Rev. Econ. Stud. 58, 77–297 (1991)

    Google Scholar 

  7. 7.

    Atkinson, A., Maynard, A., Trinder, C.: Parents and Children: Incomes in Two Generations. Heinemann, London (1983)

    Google Scholar 

  8. 8.

    Becker, G., Tomes, N.: Human capital and the rise and fall of families. J. Labor Econ. 4, S1–S39 (1986)

    Article  Google Scholar 

  9. 9.

    Behrman, J., Taubman, P.: The intergenerational elasticity between children’s adult earnings and their parents’ incomes: results from the Michigan panel study of income dynamics. Rev. Income Wealth 36, 115–127 (1990)

    Article  Google Scholar 

  10. 10.

    Björklund, A., Jantti, M.: Intergenerational income mobility in Sweden compared to the United States. Am. Econ. Rev. 87, 1009–1018 (1997)

    Google Scholar 

  11. 11.

    Bowles, S.: Schooling and inequality from generation to generation. J. Political Econ. 80, S219–S251 (1972)

    Article  Google Scholar 

  12. 12.

    Bowles, S., Gintis H.: The inheritance of inequality. J. Econ. Perspectives 16, 3–30 (2002)

    Article  Google Scholar 

  13. 13.

    Dearden, L., Machin, S., Reed, H.: Intergenerational mobility in Britain. Econ. J. 107, 47–66 (1997)

    Article  Google Scholar 

  14. 14.

    Ermisch, J., Francesconi, M.: Intergenerational mobility in Britain: new evidence from the British household panel survey. In: Corak M. (ed.) Generational Income Mobility in North America and Europe. Cambridge University Press, Cambridge (2004)

    Google Scholar 

  15. 15.

    Fortin, N., Lefebvre, S.: Intergenerational income mobility in Canada. In: Corak M. (ed.) Labor Markets, Social Institutions and the Future of Canada’s Children, Ottawa, Statistics Canada (1998)

  16. 16.

    Godfrey, L.: Misspecification Tests in Econometrics. Cambridge University Press, Cambridge (1988)

    Google Scholar 

  17. 17.

    Goldberger, A.: Economic versus mechanical models of income transmission. Am. Econ. Rev. (1989)

  18. 18.

    Grawe, N.: Life cycle bias in the estimation of intergenerational earnings persistence. Labour Econ. 13, 551–570 (2006)

    Article  Google Scholar 

  19. 19.

    Griliches, Z., Hausman, J.: Errors in variables in panel data. J. Econometrics 31, 93–118 (1986)

    Article  Google Scholar 

  20. 20.

    Haider, S., Solon, G.: Life-cycle variation in the association between current and lifetime earnings. Am. Econ. Rev. 96, 1308–1320 (2006)

    Article  Google Scholar 

  21. 21.

    Han, S., Mulligan, C.: Human capital, heterogeneity and estimated degrees of intergenerational mobility. Econ. J. 111, 207–243 (2001)

    Article  Google Scholar 

  22. 22.

    Hill, M.: The Panel Study of Income Dynamics: a User’s Guide. Sage Publications, New York (1993)

    Google Scholar 

  23. 23.

    Hsiao, C., Taylor, G.: Some remarks on measurement error and the identification of panel data models. Statistica Neerlandica 45, 187–194 (1991)

    Article  Google Scholar 

  24. 24.

    Mazumder, B.: Fortunate sons: new estimates of intergenerational mobility in the United States using social security earnings data. Rev. Econo. Stat. 87, 235–255 (2005)

    Article  Google Scholar 

  25. 25.

    Meijer, E., Wansbeek T.: Measurement error in a single regressor. Econ. Lett. 69, 277–284 (2000)

    Article  Google Scholar 

  26. 26.

    Mulligan, C.: Galton versus Human capital approach to inheritance. J. Political Econ. 107, S184–S224 (1999)

    Article  Google Scholar 

  27. 27.

    Oreopoulos, P.: The long-run consequences of living in a poor neighborhood. Quart. J. Econ. 118, 1533–1575 (2003)

    Article  Google Scholar 

  28. 28.

    Solon, G.: Intergenerational income mobility in the United States. Am. Econ. Rev. 82, 393–408 (1992)

    Google Scholar 

  29. 29.

    Wansbeek, T.: GMM estimation in panel data with measurement error. J. Econometrics 104, 259–268 (2001)

    Article  Google Scholar 

  30. 30.

    Zimmerman, D.: Regression toward mediocrity in economic stature. Am. Econ. Rev. 82, 409–429 (1992)

    Google Scholar 

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Correspondence to Ramses H. Abul Naga.

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An erratum to this article can be found at

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Abul Naga, R.H. Biases of the ordinary least squares and instrumental variables estimators of the intergenerational earnings elasticity: Revisited in the light of panel data. J Econ Inequal 6, 323–350 (2008).

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  • Intergenerational mobility
  • Measurement error
  • Panel data
  • Biased estimation

JEL Classification

  • I3
  • J62